2x+3(2x-3)+4=33

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Solution for 2x+3(2x-3)+4=33 equation:


Simplifying
2x + 3(2x + -3) + 4 = 33

Reorder the terms:
2x + 3(-3 + 2x) + 4 = 33
2x + (-3 * 3 + 2x * 3) + 4 = 33
2x + (-9 + 6x) + 4 = 33

Reorder the terms:
-9 + 4 + 2x + 6x = 33

Combine like terms: -9 + 4 = -5
-5 + 2x + 6x = 33

Combine like terms: 2x + 6x = 8x
-5 + 8x = 33

Solving
-5 + 8x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 8x = 33 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 33 + 5
8x = 33 + 5

Combine like terms: 33 + 5 = 38
8x = 38

Divide each side by '8'.
x = 4.75

Simplifying
x = 4.75

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